Title: Models of curves : the birch and Swinnerton-Dyer conjecture & ordinary reduction
Abstract: Chapter 1,contains the numerical verification of the Birch
and Swinnerton-Dyer conjecture for hundreds of Jacobians of hyperelliptic
curves of genus 2, 3, 4 and 5. Chapter 2 treats the equivalence of BSD for a
certain elliptic curve over Q(∜5), and a pair of hyperelliptic
curves over Q. In chapter 3, ordinary Galois covers of smooth curves are
constructed from ordinary Galois covers of semi-stable curves. Finally, in
chapter 4, the statistics of ordinary reduction for hyperelliptic curves is
considered.
Publication Year: 2018
Publication Date: 2018-10-31
Language: en
Type: article
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